A close-coiled helical spring has stiffness of 10 N/mm. Its length when fully compressed with adjacent coils touching each other is 400 mm. The modulus of rigidity of material of the spring = 80000 N/mm². (i) Determine the wire diameter and mean coil diameter, if their ratio is 1/10. (ii) If the gap between any two adjacent coils is 2 mm, what maximum load can be applied before the spring becomes solid i.e. adjacent coils toucl (iii) What is the corresponding maximum shear stress in the spring?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
icon
Related questions
Question
None
A close-coiled helical spring has stiffness of 10
N/mm. Its length when fully compressed with
adjacent coils touching each other is 400 mm. The
modulus of rigidity of material of the spring =
80000 N/mm².
(i) Determine the wire diameter and mean coil
diameter, if their ratio is 1/10.
(ii) If the gap between any two adjacent coils is 2
mm, what maximum load can be applied before
the spring becomes solid i.e. adjacent coils touch
(iii)
What is the corresponding maximum shear
stress in the spring?
Transcribed Image Text:A close-coiled helical spring has stiffness of 10 N/mm. Its length when fully compressed with adjacent coils touching each other is 400 mm. The modulus of rigidity of material of the spring = 80000 N/mm². (i) Determine the wire diameter and mean coil diameter, if their ratio is 1/10. (ii) If the gap between any two adjacent coils is 2 mm, what maximum load can be applied before the spring becomes solid i.e. adjacent coils touch (iii) What is the corresponding maximum shear stress in the spring?
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Buckling of Columns
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY